Answer:
x=71/9, y= -47/9
Step-by-step explanation:
5x+2y=29
x+4y=13 subtract 4y from both sides
x= -4y+13 substitute on the first one
5( -4y+13) + 2y = 29 distribute in parenthesis
-20y - 65 +2y =29 add 65 to both sides
-20y +2y = 29+65 combine like terms
-18y = 94 divide by -18 both sides
y= 94/-18= -47/9
substitute y =-47/9 in x=-4y+13
x=-4(-47/9)+13=(188/9)+13=188+117/9=71/9
